TEAS 7 · Math

Free TEAS Math practice test

45 original Math questions covering Numbers and Algebra, Measurement and Data.

The real TEAS Math section has 38 questions in 57 minutes.
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TEAS 7 Math practice test

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Math
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Questions are original practice items written to the published exam content, not real exam questions.

A kitchen scale shows that a portion of cheese weighs 0.45 pound. Which fraction, in simplest form, is equal to 0.45?
Correct answer: C
The last digit of 0.45 is in the hundredths place, so 0.45 = 45/100. Simplify by dividing the top and bottom by the same number, 5: 45 ÷ 5 = 9 and 100 ÷ 5 = 20, giving 9/20. Check: 9 ÷ 20 = 0.45.
- A This divides the top by 5 but the bottom by 4; 9/25 = 0.36, not 0.45.
- B This uses thousandths (45/1,000) instead of hundredths; 9/200 = 0.045.
- C Correct: 0.45 = 45/100, and dividing top and bottom by 5 gives 9/20.
- D This uses tenths (45/10) instead of hundredths; 9/2 = 4.5, which is ten times too big.
Learn this topic: How to convert between fractions, decimals and percents 6-minute lesson

Source: OpenStax Prealgebra 2e, 5.1 Decimals · OpenStax Prealgebra 2e, 4.2 Multiply and Divide Fractions ·
A home health aide completed 5 of the 6 visits scheduled for Monday. What percent of the scheduled visits did she complete? Round to the nearest tenth of a percent.
Your answer
A cleaning concentrate is mixed with water so that the solution is 0.4% concentrate. Which of the following are equal to 0.4%? Select all that apply.
Select all that apply.
Correct answer: B, D, E
To change a percent to a decimal, drop the % sign and move the decimal point two places left: 0.4% = 0.004. The 4 is in the thousandths place, so 0.004 = 4/1,000, and dividing top and bottom by 4 gives 1/250. A percent below 1% is always a decimal below 0.01.
- A This moves the decimal point only one place left; 0.04 is 4%, ten times too big.
- B Correct: 0.4% = 0.004, which is 4 thousandths, or 4/1,000.
- C This treats 0.4% as the decimal 0.4 (= 2/5 = 40%), forgetting to divide by 100.
- D Correct: 4/1,000 simplifies to 1/250 by dividing top and bottom by 4.
- E Correct: dropping the % sign and moving the point two places left gives 0.004.
Learn this topic: How to convert between fractions, decimals and percents 6-minute lesson

Source: OpenStax Prealgebra 2e, 6.1 Understand Percent · OpenStax Prealgebra 2e, 5.1 Decimals ·
The temperature in a mountain town was −7°F at 6 a.m. and 12°F at noon. By how many degrees did the temperature rise?
Correct answer: A
The rise is the later temperature minus the earlier one: 12 − (−7). Subtracting a negative is the same as adding its opposite, so 12 − (−7) = 12 + 7 = 19. On a thermometer, it is 7 degrees from −7 up to 0 and 12 more degrees up to 12, for 19 degrees in all.
- A Correct: 12 − (−7) = 12 + 7 = 19 degrees.
- B This subtracts in the wrong order, −7 − 12, which describes a drop rather than a rise.
- C This computes 12 − 7, treating −7 as if it were positive 7.
- D This computes −12 + 7, putting the negative sign on the wrong temperature; a rise is never negative.
Learn this topic: How to add, subtract, multiply and divide fractions, decimals and negatives 7-minute lesson

Source: OpenStax Elementary Algebra 2e, 1.3 Add and Subtract Integers ·
A soup recipe uses 1 2/3 cups of broth. Keiko wants to make 1 1/2 times the recipe. How many cups of broth does she need? Enter your answer as a decimal.
Your answer
Simplify: −3² + 4(2 − 5) ÷ 6
Correct answer: B
Work inside the parentheses first: 2 − 5 = −3. Next the exponent: −3² means the opposite of 3², which is −9 (only the 3 is squared). Then multiply and divide left to right: 4 × (−3) = −12 and −12 ÷ 6 = −2. Finally add: −9 + (−2) = −11.
- A This squares the negative sign too (treating −3² as 9), giving 9 + (−2) = 7.
- B Correct: −9 + (4 × (−3)) ÷ 6 = −9 + (−2) = −11.
- C This works straight left to right, adding −9 + 4 before multiplying, which breaks the order of operations.
- D This makes a sign error, treating 4 × (−3) as +12, so −9 + 2 = −7.
Learn this topic: How to add, subtract, multiply and divide fractions, decimals and negatives 7-minute lesson

Source: OpenStax Elementary Algebra 2e, 1.4 Multiply and Divide Integers · OpenStax Elementary Algebra 2e, 1.2 Use the Language of Algebra ·
Rain gauges at four weather stations recorded 0.09 inch, 0.1 inch, 0.089 inch and 0.099 inch of rain on the same day. Which amount is the greatest?
Correct answer: A
Give every decimal the same number of places by adding zeros at the end: 0.090, 0.100, 0.089 and 0.099. Now compare them like whole numbers: 100 is greater than 99, 90 and 89. So 0.1 inch is the greatest, even though it has the fewest digits.
- A Correct: written as 0.100, it is greater than 0.099, 0.090 and 0.089.
- B 0.089 is the smallest amount; it may look big because it has three digits after the point.
- C 0.099 has more digits and several 9s, but as 0.099 vs 0.100 it is smaller than 0.1.
- D 0.09 is the same as 0.090, which is less than 0.100 and 0.099.
Learn this topic: How to compare and order fractions, decimals, percents and negatives 6-minute lesson

Source: OpenStax Prealgebra 2e, 5.1 Decimals ·
Eli tracks his body weight and records the change each week in pounds: week 1, −1 1/4; week 2, −0.8; week 3, 3/4; week 4, −1.3. Which list shows the changes from least to greatest?
Correct answer: B
Convert to decimals: −1 1/4 = −1.25 and 3/4 = 0.75. On a number line, the negative farthest from zero is the smallest, so the order is −1.3, −1.25, −0.8, then the only positive value, 0.75. Remember that −1.3 is less than −1.25 because it is farther to the left.
- A This reads 1 1/4 as 1.4 instead of 1.25, so it places −1 1/4 before −1.3.
- B Correct: −1.3 < −1.25 < −0.8 < 0.75.
- C This orders the values by distance from zero, ignoring the negative signs.
- D This orders the negatives as if they were positive (0.8, 1.25, 1.3), but for negatives the larger size is the smaller number.
Learn this topic: How to compare and order fractions, decimals, percents and negatives 6-minute lesson

Source: OpenStax Prealgebra 2e, 5.3 Decimals and Fractions · OpenStax Elementary Algebra 2e, 1.3 Add and Subtract Integers ·
A cafeteria's serving guideline says soup bowls should be filled more than 2/3 full but no more than 3/4 full. Which fill level follows the guideline?
Correct answer: D
Write the guideline as 2/3 < fill ≤ 3/4, then turn everything into decimals: 2/3 ≈ 0.667 and 3/4 = 0.75. The choices are 0.65, 7/9 ≈ 0.778, 80% = 0.8 and 5/7 ≈ 0.714. Only 0.714 is above 0.667 and not above 0.75, so 5/7 full follows the guideline.
- A 0.65 is just under 2/3 (about 0.667), so the bowl is not filled enough; rounding 2/3 to 0.6 makes this look correct.
- B 7/9 is about 0.778, which is more than 3/4 (0.75).
- C 80% is 0.8, which is more than 3/4 (0.75).
- D Correct: 5/7 ≈ 0.714, which is greater than 2/3 ≈ 0.667 and no more than 0.75.
Learn this topic: How to compare and order fractions, decimals, percents and negatives 6-minute lesson

Source: OpenStax Prealgebra 2e, 5.3 Decimals and Fractions · OpenStax Elementary Algebra 2e, 1.2 Use the Language of Algebra ·
Solve for n: n/4 − 3 = 5
Correct answer: D
Undo the subtraction first: add 3 to both sides to get n/4 = 8. Then undo the division by multiplying both sides by 4, so n = 32. Check: 32/4 − 3 = 8 − 3 = 5, which matches the right side.
- A This multiplies only the n/4 term by 4 (n − 3 = 20), so n = 23; multiplying must apply to every term on both sides.
- B This subtracts 3 from 5 instead of adding it (n/4 = 2), then multiplies by 4 to get 8.
- C This correctly gets n/4 = 8 but then divides by 4 instead of multiplying, which gives 2.
- D Correct: n/4 − 3 = 5 → n/4 = 8 → n = 32.
Learn this topic: How to solve a one-variable equation 6-minute lesson

Source: OpenStax Elementary Algebra 2e, 2.1 Solve Equations Using the Subtraction and Addition Properties of Equality · OpenStax Elementary Algebra 2e, 2.2 Solve Equations using the Division and Multiplication Properties of Equality ·
Solve for y: 2.5y + 4 = 0.5y + 19. Give your answer as a decimal.
Your answer
Marcus solved the equation 4(x − 3) = 2x + 6. His work is shown below.
Step Work
1 4x − 3 = 2x + 6
2 2x − 3 = 6
3 2x = 9
4 x = 4.5
In which step did Marcus make his first error, and what is the correct solution of the equation?
Correct answer: C
In Step 1 Marcus multiplied only the x by 4; distributing correctly gives 4x − 12 = 2x + 6. Subtract 2x from both sides (2x − 12 = 6), add 12 to both sides (2x = 18), and divide by 2, so x = 9. Check in the original: 4(9 − 3) = 24 and 2(9) + 6 = 24.
- A Step 3 is a correct move from Step 2 (adding 3 to both sides gives 2x = 9); the 1.5 comes from subtracting 3 instead of adding it.
- B Step 1 is the right step to fix, but after 2x − 12 = 6 this subtracts 12 instead of adding it (2x = −6), giving −3.
- C Correct: the 4 was not distributed to the −3 in Step 1; 4x − 12 = 2x + 6 gives 2x = 18 and x = 9.
- D Step 4 correctly divides 9 by 2; 18 comes from multiplying by 2 instead of dividing, and the real error is earlier.
Learn this topic: How to solve a one-variable equation 6-minute lesson

Source: OpenStax Elementary Algebra 2e, 2.4 Use a General Strategy to Solve Linear Equations · OpenStax Elementary Algebra 2e, 2.1 Solve Equations Using the Subtraction and Addition Properties of Equality ·
A pharmacy technician filled 30 prescriptions this morning. That is six less than four times the number she filled yesterday afternoon. If n is the number she filled yesterday afternoon, which equation represents this situation?
Correct answer: B
"Four times the number" is 4n, and "six less than" 4n means start with 4n and subtract 6, so 4n − 6. The word "is" becomes the equal sign: 4n − 6 = 30, which gives n = 9. Remember that "less than" reverses the order of the words.
- A This writes the subtraction in the order the words appear; "six less than 4n" means 4n − 6, not 6 − 4n.
- B Correct: four times n, minus 6, equals 30.
- C This subtracts 6 from n before multiplying, which would be "four times six less than the number."
- D This treats "less than" as addition; "less than" means subtract.
Learn this topic: How to solve multi-step word problems 6-minute lesson

Source: OpenStax Elementary Algebra 2e, 1.2 Use the Language of Algebra · OpenStax Elementary Algebra 2e, 3.1 Use a Problem-Solving Strategy ·
A nursing student works three 6-hour weekday shifts at $17.50 per hour and one 8-hour weekend shift at $21.00 per hour. How much does she earn for the week before taxes? Give your answer in dollars.
Your answer
A school nurse has a $200 budget. She spends $38 on a digital thermometer and wants to use the rest to buy as many first-aid kits as possible at $14.50 each. How many kits can she buy, and how much money will be left?
Correct answer: D
First find the money available for kits: $200 − $38 = $162. Then $162 ÷ $14.50 ≈ 11.17, and because she can only buy whole kits she can afford, round down to 11. The kits cost 11 × $14.50 = $159.50, so $162 − $159.50 = $2.50 is left. Rounding up to 12 kits would cost $174, more than she has.
- A This forgets the thermometer and divides the full $200 by $14.50 (13 kits, $188.50 spent).
- B The number of kits is right, but this subtracts the $159.50 from $200 and forgets the $38 already spent.
- C This reads the decimal part of 11.17 as $0.17; the leftover must be found by multiplying 11 × $14.50 and subtracting from $162.
- D Correct: $162 ÷ $14.50 ≈ 11.17 → 11 kits; $162 − $159.50 = $2.50.
Learn this topic: How to solve multi-step word problems 6-minute lesson

Source: OpenStax Prealgebra 2e, 9.1 Use a Problem Solving Strategy · OpenStax Elementary Algebra 2e, 3.1 Use a Problem-Solving Strategy ·
A clinic has 240 patients scheduled this week, and 35% of them are new patients. How many new patients are scheduled?
Correct answer: B
Find the part with part = percent × whole. Write 35% as 0.35, then 0.35 × 240 = 84. Mental check: 10% of 240 is 24, so 30% is 72 and 5% is 12; 72 + 12 = 84.
- A This finds the 65% who are not new patients (240 − 84 = 156) instead of the new patients.
- B Correct: 0.35 × 240 = 84.
- C This writes 35% as 0.035 instead of 0.35, so the answer is 10 times too small.
- D This divides 240 by 35 instead of multiplying 240 by 0.35.
Learn this topic: How to solve percent problems 6-minute lesson

Source: OpenStax Prealgebra 2e, 6.2 Solve General Applications of Percent · OpenStax Prealgebra 2e, 6.1 Understand Percent ·
A patient's daily medication dose is lowered from 50 mg to 35 mg. By what percent was the dose decreased? Give your answer as a percent.
Your answer
A stethoscope originally costs $120. It is marked 20% off, and a coupon then takes another 15% off the sale price at checkout. Which expressions give the final price before tax? Select all that apply.
Select all that apply.
Correct answer: B, C, E
After 20% off you pay 80% of the price: 0.80 × $120 = $96. The coupon takes 15% off that sale price, so you pay 85% of $96: 0.85 × $96 = $81.60. Back-to-back discounts multiply (0.80 × 0.85 = 0.68), so the total discount is 32%, not 35%.
- A This adds the discounts to 35% off ($78), but the 15% applies to the lower sale price, not the original price.
- B Correct: keep 80%, then keep 85% of that, giving $81.60.
- C Correct: $96 is the sale price after 20% off, and paying 85% of it gives $81.60.
- D This subtracts the percents as if they were dollars ($85); 20% of $120 is $24, not $20.
- E Correct: 0.80 × 0.85 = 0.68, so 0.68 × $120 = $81.60.
Learn this topic: How to solve percent problems 6-minute lesson

Source: OpenStax Prealgebra 2e, 6.3 Solve Sales Tax, Commission, and Discount Applications · OpenStax Elementary Algebra 2e, 3.2 Solve Percent Applications ·
A newborn's weight is recorded as 3.449 kg. Round the weight to the nearest tenth of a kilogram.
Your answer
Marcus orders 38 boxes of exam-table paper for a clinic at $21.40 per box. His calculator shows a total of $8,132.00. If he checks it with front-end rounding (rounding each number to its leading place), about what should the total be?
Correct answer: C
Front-end rounding rounds each number to its leading place: 38 rounds to 40 and $21.40 rounds to $20, so the total should be about 40 × 20 = $800. The calculator's $8,132.00 is about 10 times too large, which points to a decimal slip; the exact total is 38 × 21.40 = $813.20. Always compare a calculator result with a quick estimate before choosing an answer.
- A This matches the incorrect calculator result instead of checking it; it is 10 times the estimate.
- B This chops 38 down to 30 instead of rounding it; the digit to the right of the 3 is 8, so 38 rounds up to 40.
- C Correct: 40 × $20 = $800, close to the exact total of $813.20.
- D This drops a zero; 40 × 20 is 800, not 80.
Learn this topic: How to round and estimate without going blank 5-minute lesson

Source: OpenStax University Physics Volume 1, 1.5 Estimates and Fermi Calculations · OpenStax Prealgebra 2e, 1.1 Introduction to Whole Numbers · OpenStax Prealgebra 2e, 5.2 Decimal Operations ·
Jamal is buying 18 pounds of apples at $2.49 per pound for a school health fair. He rounds the price to $2 before multiplying to estimate the cost. Which statements are true? Select all that apply.
Select all that apply.
Correct answer: A, B, C
Rounding before multiplying lets the rounding error get multiplied too: cutting 49 cents from each of 18 pounds makes the estimate 18 × 0.49 = $8.82 too low. The estimate is 18 × 2 = $36, the exact cost is 18 × 2.49 = $44.82, and 44.82 − 36 = 8.82. Rounding to a closer value ($2.50) gives 18 × 2.50 = $45.00, which is 18 cents high, because even a 1-cent rounding gets multiplied by 18.
- A True: 18 × $2 = $36.
- B True: 18 × 2.49 = 44.82, so the exact cost is $44.82.
- C True: $44.82 − $36.00 = $8.82, the 49-cent rounding multiplied by 18 pounds.
- D False: 18 × 2.50 = $45.00 is $0.18 above $44.82; the 1-cent rounding is multiplied by 18 pounds, so it is not within 10 cents.
- E False: rounding the price down makes every pound cheaper, so the estimate ($36) is lower than the exact cost, not higher.
Learn this topic: How to round and estimate without going blank 5-minute lesson

Source: OpenStax Prealgebra 2e, 5.2 Decimal Operations · OpenStax Prealgebra 2e, 5.1 Decimals ·
A cleaning solution is made with 12 g of powder in 400 mL of water. A lab aide wants to find x, the grams of powder needed for 300 mL of the same solution. Which proportions are set up correctly? Select all that apply.
Select all that apply.
Correct answer: A, B, C
A proportion is set up correctly when the units line up in the same positions on both sides. Grams over mL on both sides (a), mL over grams on both sides (b), or grams over grams equal to mL over mL in the same order (c) all give x = 9 g. Setups that put one side upside down give wrong answers.
- A Correct: grams/mL on both sides; 400x = 3,600, so x = 9.
- B Correct: mL/grams on both sides; 400x = 3,600, so x = 9.
- C Correct: grams/grams equals mL/mL in the same order (400 mL goes with 12 g); 400x = 3,600, so x = 9.
- D Incorrect: the left side is grams/mL but the right side is mL/grams, giving x = 10,000.
- E Incorrect: the order is mismatched (x goes with 300 mL but sits over 12 g, which goes with 400 mL), giving x = 16.
Learn this topic: How to set up and solve a proportion 5-minute lesson

Source: OpenStax Prealgebra 2e, 6.5 Solve Proportions and their Applications · OpenStax Elementary Algebra 2e, 8.7 Solve Proportion and Similar Figure Applications ·
On a regional map, 1 inch represents 25 miles. Two clinics are 3.5 inches apart on the map. How many miles apart are the clinics?
Your answer
A dosage chart lists 7.5 mg of a medication per kilogram of body weight. How many milligrams correspond to a patient who weighs 132 lb? (Use 1 kg ≈ 2.2 lb.)
Correct answer: B
A per-kilogram rate needs the weight in kilograms, so convert first: 132 ÷ 2.2 = 60 kg. Then set up the proportion 7.5 mg / 1 kg = x mg / 60 kg, so x = 7.5 × 60 = 450 mg. Remember that the number of kilograms is always smaller than the number of pounds.
- A This skips the conversion and multiplies 7.5 by 132 lb.
- B Correct: 132 ÷ 2.2 = 60 kg, and 7.5 × 60 = 450 mg.
- C This divides the weight by the rate (60 ÷ 7.5) instead of multiplying.
- D This multiplies 132 by 2.2 (290.4 kg) instead of dividing, then multiplies by 7.5.
Learn this topic: How to set up and solve a proportion 5-minute lesson

Source: OpenStax Prealgebra 2e, 6.5 Solve Proportions and their Applications · OpenStax Prealgebra 2e, 7.5 Systems of Measurement · NIST Guide to the SI, Appendix B.9: Factors for units listed by kind of quantity ·
A nursing study group has 14 first-year students and 21 second-year students. What is the ratio of first-year students to second-year students in simplest form?
Correct answer: C
Write the ratio in the order named, first-year to second-year: 14:21, or 14/21. Both numbers divide by their greatest common factor, 7, giving 2:3. Watch the order and make sure you compare the two groups, not one group to the total.
- A This reverses the order, giving second-year to first-year (21:14).
- B This compares first-year students to the whole group (14:35), a part-to-whole ratio.
- C Correct: 14:21 divided by 7 is 2:3.
- D This compares second-year students to the whole group (21:35).
Learn this topic: How to work with ratios, unit rates and rate of change 5-minute lesson

Source: OpenStax Prealgebra 2e, 5.6 Ratios and Rate ·
During a cardiac rehab walking program, Priya walks 2.4 miles in 45 minutes. What is her average speed in miles per hour? Round to the nearest tenth if needed.
Your answer
Day Hand sanitizer left in dispenser (mL)
1 1,200
3 960
5 720
A clinic records how much hand sanitizer is left in a wall dispenser. If the amount keeps decreasing at the same rate, on which day will the dispenser be empty?
Correct answer: D
Rate of change is the change in amount divided by the change in time: (960 − 1,200) ÷ (3 − 1) = −240 ÷ 2 = −120 mL per day. On day 5 there are 720 mL left, and 720 ÷ 120 = 6 more days, so it is empty on day 5 + 6 = day 11. Check from the start: 1,200 ÷ 120 = 10 days after day 1, which is also day 11.
- A This finds 720 ÷ 120 = 6 but forgets to count the 6 days from day 5.
- B This treats the 240 mL drop between table rows as a one-day drop (720 ÷ 240 = 3 days after day 5), but the rows are 2 days apart.
- C This finds 1,200 ÷ 120 = 10 days but counts from day 0 instead of day 1.
- D Correct: the rate is −120 mL per day, and 720 mL lasts 6 more days after day 5.
Learn this topic: How to work with ratios, unit rates and rate of change 5-minute lesson

Source: OpenStax College Algebra 2e, 3.3 Rates of Change and Behavior of Graphs · OpenStax Elementary Algebra 2e, 4.4 Understand Slope of a Line ·
A sign at a hospital parking garage says that a vehicle's height can be no more than 7 feet. Which inequality shows the allowed heights, h, in feet?
Correct answer: C
"No more than 7" means the height can be 7 feet or anything below it, so the boundary 7 is allowed and the sign is ≤: h ≤ 7. "At most" and "no more than" both mean ≤; "at least" and "no less than" both mean ≥. If the boundary number itself is allowed, the inequality needs the "or equal to" line.
- A This leaves out 7 itself, but a vehicle exactly 7 feet tall is allowed, so the sign needs the "or equal to" part.
- B This reverses the meaning: ≥ is "at least 7," which would allow only vehicles 7 feet or taller.
- C Correct: "no more than 7" means 7 or less, which is h ≤ 7.
- D This both reverses the direction and leaves out 7; it describes vehicles taller than the limit.
Learn this topic: How to turn words into expressions, equations and inequalities 6-minute lesson

Source: OpenStax Elementary Algebra 2e, 2.7 Solve Linear Inequalities ·
Imani, a phlebotomy student, completed 6 less than twice the number of blood draws her classmate Luis completed. Imani completed 34 draws. Which equation can be used to find c, the number of draws Luis completed?
Correct answer: D
"Twice the number Luis completed" is 2c, and "6 less than" that amount means subtract 6 from it: 2c − 6. Imani's total is 34, so 2c − 6 = 34, which gives 2c = 40 and c = 20. "Less than" flips the order, so the 6 is subtracted from 2c, not the other way around.
- A This keeps the words in reading order; "6 less than 2c" means 2c − 6, not 6 − 2c.
- B This subtracts 6 before doubling; the words say to double first and then take away 6, so no parentheses are needed.
- C This adds 6 instead of subtracting it; "less than" means subtraction.
- D Correct: twice Luis's draws is 2c, and 6 less than that is 2c − 6, which equals 34.
Learn this topic: How to turn words into expressions, equations and inequalities 6-minute lesson

Source: OpenStax Prealgebra 2e, 2.2 Evaluate, Simplify, and Translate Expressions · OpenStax Elementary Algebra 2e, 3.1 Use a Problem-Solving Strategy ·
A medical supply website charges a flat $8 shipping fee per order plus $3.50 for each box of exam gloves. Paolo can spend at most $45 on one order, including shipping. What is the greatest whole number of boxes of gloves he can order?
Your answer
Appointments at a physical therapy clinic during one week
Day In-person Telehealth
Monday 32 9
Tuesday 24 18
Wednesday 37 6
Thursday 27 12
Friday 25 16
According to the table, on which day did the clinic have the fewest in-person appointments?
Correct answer: A
Use only the In-person column and look for the smallest number: 32, 24, 37, 27, 25. The smallest is 24, on Tuesday. Before answering a table question, check the column heading the question names; the Telehealth column and the daily totals give different answers.
- A Correct: Tuesday's 24 is the smallest value in the In-person column.
- B Wednesday has the fewest telehealth appointments (6); this reads the wrong column. Wednesday actually has the most in-person appointments.
- C Thursday has the fewest total appointments (27 + 12 = 39), but the question asks about in-person appointments only.
- D Friday's 25 is close, but Tuesday's 24 is smaller; this comes from not comparing every row.
Learn this topic: How to read tables, bar graphs, line graphs and pie charts 6-minute lesson

Source: OpenStax Introductory Statistics 2e, 2.1 Stem-and-Leaf Graphs (Stemplots), Line Graphs, and Bar Graphs ·
A hospital cafeteria asked 480 employees to name their favorite lunch option. A pie chart showed these results:
Lunch option Percent of employees
Sandwiches 35%
Salad bar 25%
Hot entrée 20%
Soup 15%
Other 5%
Based on the pie chart, how many more employees chose sandwiches than soup?
Your answer
A line graph shows the average number of steps per day recorded by a hospital staff walking group over 6 weeks. The plotted points are listed below.
Week Average steps per day
1 4,200
2 4,900
3 4,600
4 5,800
5 6,300
6 8,500
Which statements are supported by the graph? Select all that apply.
Select all that apply.
Correct answer: B, C, D
Find the change between each pair of neighboring weeks: +700, −300, +1,200, +500 and +2,200. The biggest increase, +2,200, is from week 5 to week 6, and the only drop is the 300-step dip from week 2 to week 3. Double the week 1 value is 2 × 4,200 = 8,400, and week 6 (8,500) is higher than that. Week 6 minus week 4 is 8,500 − 5,800 = 2,700, not 4,300.
- A Incorrect: the average fell from 4,900 in week 2 to 4,600 in week 3.
- B Correct: the week 5 to week 6 change (+2,200) is larger than any other weekly change.
- C Correct: 2 × 4,200 = 8,400, and 8,500 is more than that.
- D Correct: 4,900 − 4,600 = 300.
- E Incorrect: 4,300 is the difference between week 6 and week 1; the difference from week 4 is 8,500 − 5,800 = 2,700.
Learn this topic: How to read tables, bar graphs, line graphs and pie charts 6-minute lesson

Source: OpenStax Introductory Statistics 2e, 2.2 Histograms, Frequency Polygons, and Time Series Graphs · OpenStax Introductory Statistics 2e, 2.1 Stem-and-Leaf Graphs (Stemplots), Line Graphs, and Bar Graphs ·
A phlebotomist recorded the number of blood draws she completed on each of seven shifts: 14, 9, 22, 17, 9, 19, 12. What is the range of the data?
Correct answer: B
The range is the largest value minus the smallest value. Here the largest is 22 and the smallest is 9, so the range is 22 − 9 = 13 draws. The range measures how spread out the data are, not where the center is.
- A This is the median (the middle of the ordered list 9, 9, 12, 14, 17, 19, 22), not the range.
- B Correct: 22 − 9 = 13.
- C This is the mode, the value that appears most often, and also the smallest value.
- D This is the largest value alone; the range subtracts the smallest value from it.
Learn this topic: How to find the mean, median, mode and range 6-minute lesson

Source: OpenStax Introductory Statistics 2e, 2.4 Box Plots · OpenStax Prealgebra 2e, 5.5 Averages and Probability ·
The mean age of the 5 members of a support group is 42 years. A sixth member joins, and the mean age of all 6 members becomes 45 years. How old, in years, is the new member?
Your answer
A clinic recorded the number of missed appointments each day for 7 days: 3, 5, 4, 6, 2, 5, 40. The value 40 was a typing error; the correct value is 7. How does correcting the error change the mean and the median?
Correct answer: D
The original total is 65, so the mean is 65 ÷ 7 ≈ 9.3; after the fix the total is 32, so the mean is 32 ÷ 7 ≈ 4.6, a drop of 33 ÷ 7 ≈ 4.7. In order, the original data are 2, 3, 4, 5, 5, 6, 40 and the corrected data are 2, 3, 4, 5, 5, 6, 7; the middle (4th) value is 5 both times. An extreme value pulls the mean toward it but does not affect the median as long as it stays on the same side of the middle.
- A This subtracts the full change in one value (40 − 7 = 33) from the mean without dividing it among the 7 values.
- B This assumes the median moves as much as the mean; the median depends only on the middle value, which stays 5.
- C This reverses the roles: the outlier strongly affects the mean, not the median.
- D Correct: the mean falls from about 9.3 to about 4.6 (33 ÷ 7 ≈ 4.7), and the median is 5 before and after.
Learn this topic: How to find the mean, median, mode and range 6-minute lesson

Source: OpenStax Introductory Statistics 2e, 2.5 Measures of the Center of the Data · OpenStax Introductory Statistics 2e, 2.6 Skewness and the Mean, Median, and Mode ·
A home health agency pays its aides $22 for each home visit. An aide's weekly pay, P, is found with the equation P = 22v, where v is the number of visits made that week. Which statement correctly describes the variables?
Correct answer: B
The independent variable is the input, and the dependent variable is the result that responds to it. Pay depends on how many visits the aide makes, so the number of visits, v, is independent and the pay, P, is dependent. In an equation written as y = kx, x is the independent variable and y is the dependent one; the fixed number 22 is a constant, not a variable.
- A This reverses the roles; the number of visits drives the pay, not the other way around.
- B Correct: pay depends on the number of visits, so v is independent and P is dependent.
- C 22 is a fixed rate (the constant of variation), so it is not a variable at all.
- D P changes in response to v, so P depends on v and cannot be independent.
Learn this topic: How two variables are related: correlation, direct and inverse variation 5-minute lesson

Source: OpenStax Introductory Statistics 2e, 12.1 Linear Equations · OpenStax Elementary Algebra 2e, 8.9 Use Direct and Inverse Variation ·
Volunteers are packing first-aid kits for a health fair. The time needed to pack all the kits varies inversely with the number of volunteers. If 4 volunteers can pack all the kits in 6 hours, how many hours would it take 3 volunteers working at the same rate? Enter a whole number.
Your answer
Weeks of study and practice test scores for eight students in a prep course
Student Weeks of study Practice test score (%)
A 1 58
B 2 62
C 3 61
D 4 70
E 5 74
F 6 79
G 7 77
H 8 86
The data in the table will be shown on a scatter plot. Which statements are supported by the data? Select all that apply.
Select all that apply.
Correct answer: A, D
Reading from 1 week to 8 weeks, scores generally rise (with small dips at students C and G), so the dots trend upward: a positive correlation. The score responds to the weeks of study, so weeks is the independent variable and goes on the horizontal x-axis. A correlation alone cannot prove cause and effect, and direct variation would need score ÷ weeks to be constant, which it is not (58 ÷ 1 = 58 but 62 ÷ 2 = 31).
- A Correct: higher weeks of study are paired with higher scores overall, so the trend rises from left to right.
- B This reverses the direction; scores tend to go up, not down, as weeks increase.
- C Correlation does not imply causation; other factors could explain why students who studied longer scored higher.
- D Correct: the score is the response, so weeks of study is the independent variable and is plotted on the x-axis.
- E The ratio is not constant (58, 31, about 20.3, 17.5 ...), so this is not direct variation even though the trend is positive.
Learn this topic: How two variables are related: correlation, direct and inverse variation 5-minute lesson

Source: OpenStax Introductory Statistics 2e, 12.2 Scatter Plots · OpenStax Introductory Statistics 2e, 12.3 The Regression Equation · OpenStax Elementary Algebra 2e, 8.9 Use Direct and Inverse Variation ·
A round gauze pad has a radius of 3 cm. What is the area of one side of the pad? Use 3.14 for π.
Correct answer: D
The area of a circle is A = π × r². Square the radius first: 3 × 3 = 9, then multiply by π: 3.14 × 9 = 28.26 cm². Area is always in square units; a result like 2 × π × r is the circumference, a length around the edge.
- A This is 2 × 3.14 × 3, the circumference (distance around), not the area.
- B This uses the diameter, 6 cm, as if it were the radius (3.14 × 6 × 6), making the area four times too big.
- C This multiplies π by the radius without squaring it (3.14 × 3).
- D Correct: A = π × r² = 3.14 × 3 × 3 = 28.26 cm².
Learn this topic: How to find perimeter, area and volume, even for odd shapes 6-minute lesson

Source: OpenStax Prealgebra 2e, 9.5 Solve Geometry Applications: Circles and Irregular Figures ·
A hospital courtyard lawn is shaped like a rectangle 40 meters long and 20 meters wide, with a semicircle attached to each of the two 20-meter ends. A walking path runs along the entire outer edge of the lawn. How long is one lap of the path, in meters? Use 3.14 for π. Round to the nearest tenth.
Your answer
A nurse parks in the corner of a rectangular parking lot that is 60 meters wide and 80 meters long. To reach the clinic door at the opposite corner, she can walk along two sides of the lot or walk straight across it diagonally. How many meters shorter is the diagonal route?
Correct answer: C
The two sides of the lot meet at a right angle, so the diagonal is the hypotenuse of a right triangle with legs 60 m and 80 m. By the Pythagorean theorem, 60² + 80² = 3,600 + 6,400 = 10,000, and the square root of 10,000 is 100 m. Walking along the two sides is 60 + 80 = 140 m, so the diagonal saves 140 − 100 = 40 m.
- A This just subtracts the two sides (80 − 60) instead of comparing the two routes.
- B This is the length of the diagonal itself; the question asks how much shorter it is than the 140 m route.
- C Correct: the diagonal is 100 m (60² + 80² = 100²) and the route along the sides is 140 m, a difference of 40 m.
- D This treats the hypotenuse as a + b (60 + 80 = 140), as if both routes were equal; the legs must be squared before adding, so the diagonal is shorter.
Learn this topic: How to find perimeter, area and volume, even for odd shapes 6-minute lesson

Source: OpenStax Prealgebra 2e, 9.3 Use Properties of Angles, Triangles, and the Pythagorean Theorem ·
A vitamin tablet contains 0.25 g of vitamin C. How many milligrams of vitamin C does the tablet contain?
Correct answer: B
Milli means one-thousandth, so 1 g = 1,000 mg. Converting to a smaller unit makes the number bigger: multiply by 1,000, which moves the decimal point 3 places to the right. 0.25 g × 1,000 = 250 mg.
- A This moves the decimal only 1 place, as if 1 g were 10 mg.
- B Correct: 0.25 × 1,000 = 250 mg, because 1 g = 1,000 mg.
- C This moves the decimal only 2 places, as if 1 g were 100 mg (that would be centigrams).
- D This divides by 1,000 instead of multiplying, moving the decimal the wrong way.
Learn this topic: How to convert units without guessing: metric, US and health-care units 6-minute lesson

Source: NIST, SI Units: Mass · OpenStax Prealgebra 2e, 7.5 Systems of Measurement ·
On an intake record, a patient drank 1 1/2 cups of juice at breakfast and 12 fluid ounces of water later in the morning. What was the patient's total fluid intake for the morning in milliliters? (Use 1 cup = 8 fl oz and 1 fl oz = 30 mL.) Enter a whole number.
Your answer
During a rehabilitation session, a patient walks on a treadmill set to 2.4 miles per hour. What is this speed in meters per minute? (1 mi ≈ 1.61 km)
Correct answer: B
Chain unit fractions so each unwanted unit cancels: 2.4 mi/h × (1.61 km / 1 mi) × (1,000 m / 1 km) × (1 h / 60 min). That is 2.4 × 1.61 = 3.864 km per hour, which is 3,864 m per hour, and 3,864 ÷ 60 = 64.4 m per minute. Converting both the distance unit and the time unit is what makes this a two-part problem.
- A This converts miles to meters but forgets to change hours to minutes; 3,864 is meters per hour.
- B Correct: 2.4 × 1.61 × 1,000 ÷ 60 = 64.4 meters per minute.
- C This divides by 1.61 instead of multiplying (2.4 ÷ 1.61 × 1,000 ÷ 60), so the miles-to-kilometers fraction is upside down.
- D This forgets that 1 km = 1,000 m, leaving the answer in kilometers per minute (3.864 ÷ 60).
Learn this topic: How to convert units without guessing: metric, US and health-care units 6-minute lesson

Source: NIST, Approximate Conversions from U.S. Customary Measures to Metric · OpenStax Prealgebra 2e, 7.5 Systems of Measurement ·

Step	Work
1	4x − 3 = 2x + 6
2	2x − 3 = 6
3	2x = 9
4	x = 4.5

Day	Hand sanitizer left in dispenser (mL)
1	1,200
3	960
5	720

Day	In-person	Telehealth
Monday	32	9
Tuesday	24	18
Wednesday	37	6
Thursday	27	12
Friday	25	16

Lunch option	Percent of employees
Sandwiches	35%
Salad bar	25%
Hot entrée	20%
Soup	15%
Other	5%

Week	Average steps per day
1	4,200
2	4,900
3	4,600
4	5,800
5	6,300
6	8,500

Student	Weeks of study	Practice test score (%)
A	1	58
B	2	62
C	3	61
D	4	70
E	5	74
F	6	79
G	7	77
H	8	86

About this TEAS 7 Math practice test

PracticePractice mode shows the answer after each question, with no timer. Timed exam mode comes with full access.
Go at your paceYour answers save in this browser, so you can stop and come back later.
Read your reportSee your score for each section, and why every answer is right or wrong.
Fix weak spotsMissed questions go to your mistake book. Learn the topic, then try again.

What your score means

ATI has no passing score. Each nursing program sets its own minimum.

Here is what four programs asked for:

Program	TEAS minimum	050100%
University of Arizona, MS-MEPN	75% combined score
CSU San Marcos, Traditional BSN transfer (2027–2028)	71.0% composite
Moorpark College, ADN	62% recommended; lower scores need remediation
Minnesota State Moorhead, BSN (2027)	58.7% composite and 41.3% science

ATI's levels: Proficient is 58.7–79.3%, Advanced is 80.0–91.3%.

Your score is the percent of questions you got right, with a score for each section (and, with full access, each topic). The real TEAS reports a total score from 0 to 100%, adjusted for how hard your test form was, so treat ours as an estimate.

Rules change every year. Always check your own program’s page. Checked October 15, 2026.

TEAS 7 format

Section	Questions (scored)	Time
Reading	45 (39)	55 min
Math	38 (34)	57 min
Science	50 (44)	60 min
English and Language Usage	37 (33)	37 min
Total	170 (150)	209 min

Sections always come in this order. A basic calculator is on screen in every section; you can’t bring your own.

Common questions

Is this the real TEAS?

No. These are original practice questions we wrote to the published TEAS 7 content outline. They are not real exam questions.

How long does it take?

This set has 45 questions. Practice mode has no timer, so take as long as you need. With full access, exam mode gives you 68 minutes.

Can I stop and finish later?

Yes. Your answers save in this browser, so you can close the page and pick up where you left off.

What TEAS score do I need?

It depends on your program. ATI sets no passing score. The four programs above ask for 58.7% to 75%.

Can I use a calculator on the TEAS?

Yes, but only the basic calculator built into the exam. Personal and phone calculators are not allowed.

Is this practice test free?

Yes. No card. Start without an account; after 15 questions, a free account saves your progress. A paid plan unlocks all 738 verified TEAS 7 questions, timed exam mode, sets on one topic and a score for every topic.

Next steps

Quick start10 questions, every answer explained.Diagnostic testOne short test to find your weak sections.Study planA day-by-day plan to your exam date. The first 3 days are free.LessonsLearn a topic in a few minutes, then try its questions.Cheat sheetThe key facts on one free PDF.Full accessAll 738 verified TEAS 7 questions, exam mode and your full report.

Sources (checked October 15, 2026)

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About this TEAS 7 Math practice test

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TEAS 7 format

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